Special Session 68: 

Holder gradient estimates for a class of singular or degenerate parabolic equations

Tianling Jin
Hong Kong University of Science and Technology
Hong Kong
Co-Author(s):    Cyril Imbert, Luis Silvestre
Abstract:
We prove interior Holder estimates for the spatial gradients of viscosity solutions to a class of singular or degenerate parabolic equations, which unifies the proof of the `from L^\infty to Holder` regularity estimates for the parabolic p-Laplacian equations in both divergence form and non-divergence form.